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133455738 = 231329411439
BaseRepresentation
bin1111111010001…
…01111101111010
3100022010020212010
413331011331322
5233131040423
621124230350
73210232533
oct775057572
9308106763
10133455738
11693722a9
123883b3b6
13218586c0
1413a1d68a
15bab2693
hex7f45f7a

133455738 has 64 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 38653440.

The previous prime is 133455719. The next prime is 133455743. The reversal of 133455738 is 837554331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 133455696 and 133455705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92023 + ... + 93461.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2133455738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133455738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

133455738 is an abundant number, since it is smaller than the sum of its proper divisors (171363462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133455738 is a wasteful number, since it uses less digits than its factorization.

133455738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its digits is 151200, while the sum is 39.

The square root of 133455738 is about 11552.3044454343. The cubic root of 133455738 is about 511.0292401981.

The spelling of 133455738 in words is "one hundred thirty-three million, four hundred fifty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 41 58 78 82 87 123 174 246 377 533 754 1066 1131 1189 1439 1599 2262 2378 2878 3198 3567 4317 7134 8634 15457 18707 30914 37414 41731 46371 56121 58999 83462 92742 112242 117998 125193 176997 250386 353994 542503 766987 1085006 1533974 1627509 1710971 2300961 3255018 3421942 4601922 5132913 10265826 22242623 44485246 66727869 133455738